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Sunday, May 10, 2020 | History

1 edition of Evolution Equations Arising in the Modelling of Life Sciences found in the catalog.

Evolution Equations Arising in the Modelling of Life Sciences

by Messoud Efendiev

  • 146 Want to read
  • 26 Currently reading

Published by Springer Basel, Imprint: Birkhäuser in Basel .
Written in English

    Subjects:
  • Ecology,
  • Biological models,
  • Mathematical and Computational Biology,
  • Partial Differential equations,
  • Cellular and Medical Topics Physiological,
  • Theoretical Ecology/Statistics,
  • Systems biology,
  • Mathematics,
  • Physiology

  • About the Edition

    This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

    Edition Notes

    Statementby Messoud Efendiev
    SeriesInternational Series of Numerical Mathematics -- 163
    ContributionsSpringerLink (Online service)
    Classifications
    LC ClassificationsQH323.5, QH324.2-324.25
    The Physical Object
    Format[electronic resource] /
    PaginationXII, 217 p. 30 illus., 15 illus. in color.
    Number of Pages217
    ID Numbers
    Open LibraryOL27073285M
    ISBN 109783034806152

    Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important applications to a number of areas of analysis as well as. However, mathematical modelling is becoming more important in this age of information, and modelling with calculators and computers is necessary for solving real problems. In addition, there is growing concern about environmental issues. In this paper I will introduce two examples that apply mathematical modelling to environmental problems.

    The plan of the paper is as follows. In Section 2 we will briefly recall the main features of the theory concerned with evolution equations, referring to the HE, the SE and the PWE as basic examples. Section 3 synthesises the relation between the evolution operator formalism and the solution of fractional partial differential equations. In Section 4, we will review the Dirac-like factorization Cited by: 3.   The great use of the fractional differential equations in describing and modeling the various applications has made them very important at the recent years. Many of phenomena from life and natural sciences such as, biology, live sciences physics, chemistry, medicine, and engineering are modeled using fractional : Saud Owyed.

    MATHEMATICAL MODELS – Vol. III - Mathematical Models in Economics - Alfredo Medio ©Encyclopedia of Life Support Systems(EOLSS) virtually all areas of economic research and the lag between the production of new results in mathematics (and statistics) and their application to economics have been declining Size: KB. M. Peszynska, Analysis of an integro-differential equation arising form modelling of flows with fading memory through fissured media, Journal of Partial Differential Equations, 8 (), Google Scholar [12] H. Smith, An Introduction to Delay Differential Equations with Applications to the Life Sciences, Springer, New York, Author: Artur Stephan, Holger Stephan.


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Evolution Equations Arising in the Modelling of Life Sciences by Messoud Efendiev Download PDF EPUB FB2

Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics Book ) - Kindle edition by Efendiev, Messoud. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Evolution Equations Arising in the Modelling of Life Sciences (International Series of Cited by: This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes.

The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental : Birkhäuser Basel.

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data.

Evolution Equations Arising in the Modelling of Life Sciences. by Messoud Efendiev. International Series of Numerical Mathematics (Book ) Thanks for Sharing.

You submitted the following rating and review. We'll publish them on our site once we've reviewed : Springer Basel. Get this from a library. Evolution equations arising in the modelling of life sciences.

[Messoud Efendiev] -- This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes.

The models and findings presented result from intensive. springer, This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data.

Springer, p. This book deals with modelling, analysis and simulation of problems arising in the life sciences, in particular, biological processes.

Such problems play a very important role in many scientific and technological areas and is a truly interdisciplinary research topic. Indeed. Lee "Evolution Equations Arising in the Modelling of Life Sciences" por Messoud Efendiev disponible en Rakuten Kobo.

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in b Brand: Springer Basel. Free 2-day shipping. Buy Evolution Equations Arising in the Modelling of Life Sciences (Hardcover) at Buy Evolution Equations Arising in the Modelling of Life Sciences by Messoud Efendiev from Waterstones today.

Click and Collect from your local Waterstones. Efendiev M. () Global Attractors for Autonomous Evolution Equations. In: Evolution Equations Arising in the Modelling of Life Sciences. International Series of Numerical Mathematics, vol Author: Messoud Efendiev. “The author, in this short book, develops a variety of multi-scale mathematical models for cancer cell phenomena that occur at several different stages in the development and progression of cancer.

this book is a useful addition to the growing literature on the mathematical biology of the evolution and behavior of cancer and tumor cells.

“This book presents a variety of phenomena arising in the analysis of partial differential equations modelling of biological, physical and chemical processes.

This book can well serve as a textbook for a course on master's level. Exercise problems are given in each chapter.” (Jonathan Zinsl, zbMATH)Format: Paperback.

Mathematics, an international, peer-reviewed Open Access journal. Dear Colleagues, Recently, interactions between researchers working in the field of mathematical physics and in the field of applied sciences have gained much attention, and new challenges have been raised including the possibility to derive evolution differential equations that are able to describe most phenomena arising in.

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Evolution Equations Arising in the Modelling of Life Sciences. Messoud Efendiev. Evolution Equations Arising in the Modelling of Life Sciences. This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological.

The notion of a well-posed (or properly posed) problem introduced (in the context of partial differential equations) by Hadamard at the beginning of this century plays an important role in the theory and numerical approximations of solutions of operator equations arising from analysis, engineering, and applied sciences.

Modelling opinion formation by means of kinetic equations.- Human behavior and swarming.- On the modelling of vehicular traffic and crowds by kinetic theory of active particles Evolution equations, fluid mechanics, and homogenization theory.

Alain Damlamian. [email protected] Université Paris-Est Créteil, Laboratoire d'Analyse et Mathématiques Appliquées (LAMA), UMR CNRS, Créteil Cedex, France.

Non linear evolution equations, convex analysis, homogenization of partial differential equations and systems. Reading [PDF] The Fire in the Equations: Science Religion & Search For God [Read] Full Ebook Popular Books Reads [PDF] The Fire in the Equations: Science Religion & Search For God [Read] Full Ebook New E-Books.

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"This book presents a variety of phenomena arising in the analysis of partial differential equations modelling of biological, physical and chemical processes. This book can well serve as a textbook for a course on master's level.

Exercise problems are given in each chapter." (Jonathan Zinsl, zbMATH) show moreAuthor: Benoit Perthame.